We analyze the loop-induced decays of the Higgs boson into pairs of gluons and photons in the left-right twin Higgs model. The study shows that the deviation of the partial widths for these decays relative to their Standard Model (SM) values scales with 1/ f(2), where f similar to TeV is the symmetry breaking scale in the model. For the mass mixing parameter M = 150 GeV, the LHC and a linear e(+) e(-) collider would be sensitive to the deviation in Gamma(H -> gg) for f less than or similar to 770(660) GeV at the 1(2) sigma level. So the Higgs boson processes at the LHC can be a sensitive probe for the left-right twin Higgs model. Copyright (C) EPLA, 2009